help with questions 1-4 Show all work - give exact simplified values for all answers For...
Please answer 1,2,3,4,5,6,7 by showing all of your work make sure all of the answers is fully correct. y-3 1. Solve fory: - 4 B) C) D)-16 4 4 2. Perform the operation: (9x + 2x -9) - (-5x- 3x + 9). A) 3x7 +5x B) 14x2 +5x - 18 C) 14x-x - 18 D) 3x+5x - 18 3. Multiply: (x' - 10) (x' + 10) B) x*- 100 A) x*+ 20x2 -100 C) x*-20 Dx4-20x2- 100 4. Multiply: (2x...
Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = x2 − 9; a = 1 Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = x3 + 9x; a = 5 Compute the derivative function f '(x) algebraically. HINT [See Examples 2 and 3.] f(x) = x2 − 8 Compute the derivative function f '(x) algebraically. HINT [See Examples 2 and 3.] f(x) = 2x − 1 Find the equation...
send help for these 4 questions, please show steps Definition: The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles A = lim R, = lim [f(x)Ax +f(x2)Ax+...+f(x)Ax] - 00 Consider the function f(x) = x, 13x < 16. Using the above definition, determine which of the following expressions represents the area under the graph off as a limit. A. lim...
please answer ALL questions. thank you 1. Simplify: (5x + 3) - (4x + 1)(6 - x) (4 marks) Perform the indicated operation and simplify: -6V80 + 275- 8245 - 14 V108 2. (2√5 - 4√6) (3√3 + 8 √2) (8 marks) 3. Simplify, and state the restrictions on the variable x² - x-6x² - 2x+1 x2 - 4 x-1 8 9x +15x 3x + 5 (12 marks) Determine if the following expressions are equivalent. Justify your answer. 6x +...
Show all works please! Thanks! MATH& 151 Spring 2019 Answer the given questions. All work and answers should be done on a separate sheet of paper. Staple this sheet to the front, Unless otherwise noted, answers should be exact and simplified. Final answer should be clearly indicated. Be sure to read the syllabus for quality of work standards. 1. No justification required for any parts of this problem. a. Sketch the graph of f(x)-43. Be sure your graph is neat...
1. If a particle moves according to a law of motion S(t)=12-6-7, t 20 Where t is measured in seconds and sin meters, (a) Find the velocity of the particle in terms of t. (b) Find the velocity and the speed at time t=1. (c) When is the particle at rest? (d) When is the particle moving to the right and when is it moving to the left? (e) Find the acceleration of the particle at t. (10pts) 2. Evaluate...
Include all relevant work please. 24. Solve the following for r. Give simplified exact values and approximate values (if needed) to four decimal places. Show your work to get full credit! 267-3x) = 16 p2x = 8 b) [4] b) (turn over) c) 2log2 x = 3 + log2 (x - 2) 14) d) log2 (x + 7) + log2 x = 3 d).
Calculus 1 MAT 201 Final Exam, Spring 1 2019, LAGCC Evaluate the following limits, you may use L'Hospital's rule, if it applies. -V31+4 lim 4-1 -4 a. b. Evaluate the following limit. lim xIn x x-0 2. Evaluate and explain your answer -xsin(x)+cos (x) x+1 130 dx (a.) 130 Differentiate each of the following below using the fundamental theorem of calc part 1 X cos? (1- 51) dt ) g (x) = S_ e (2c) g(t)= J x2t+1 3 Use...
All of them are required. thank you Problem Set 4.6 NAME: Show all work here or on notebook paper. Your work must be neatly written and follow proper mathematical notation. The number in the brackets indicates the point value. For questions 1 and 2, find the following. a) Intervals where the function is increasing b) Intervals where the function is decreasing c) Relative maximums and Relative minimums d) Intervals where the function is concave up e) Intervals where the function...
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...